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Finding the Fourth Proportional to 229.92, 342.89 and 217.77

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Solution

The fourth proportional to 229.92, 342.89 and 217.77 is: 324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 342.89 = 217.77 : x
  2. Step 2: Convert to fraction form
    229.92/342.89 = 217.77/x
  3. Step 3: Cross multiply
    229.92x = 342.89 × 217.77
  4. Step 4: Simplify right side
    229.92x = 74,670.07
  5. Step 5: Solve for x
    x = 74,670.07/229.92
  6. Step 6: Final answer
    x = 324.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.